2263732224 has 208 divisors, whose sum is σ = 6693292032. Its totient is φ = 675938304.

The previous prime is 2263732217. The next prime is 2263732231. The reversal of 2263732224 is 4222373622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2263732217) and next prime (2263732231).

It is a tau number, because it is divible by the number of its divisors (208).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5910337 + ... + 5910719.

Almost surely, 2^2263732224 is an apocalyptic number.

2263732224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263732224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346646016).

2263732224 is an abundant number, since it is smaller than the sum of its proper divisors (4429559808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2263732224 is a wasteful number, since it uses less digits than its factorization.

2263732224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 438 counting only the distinct ones).

The product of its digits is 48384, while the sum is 33.

The square root of 2263732224 is about 47578.6950640725. The cubic root of 2263732224 is about 1313.0311148647.

The spelling of 2263732224 in words is "two billion, two hundred sixty-three million, seven hundred thirty-two thousand, two hundred twenty-four".